Sapling HW #4

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alexandralopez 3F
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Sapling HW #4

Postby alexandralopez 3F » Thu Oct 08, 2020 1:38 pm

Hi guys! I was doing question #4 on the homework and got a little confused on the sig figs.

Would someone mind explaining why 950000 only has 2 sig figs compared 80060 having 4 sig figs.

Initially I thought 950000 and 80060 would both only have 3 sig figs

Q Scarborough 1b
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Re: Sapling HW #4

Postby Q Scarborough 1b » Thu Oct 08, 2020 1:42 pm

950000 only has 2 sig figs because the last four zeros are trailing zeros. The only sig figs here are the 9 and 5. 80060 has 4 sig figs because the two zeros between the 8 and the 6 are significant. The last zero is not because it is a trailing zero.

Gwendolyn Hill 2F
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Re: Sapling HW #4

Postby Gwendolyn Hill 2F » Thu Oct 08, 2020 1:44 pm

Like stated above:
1. All non zero digits are sig figs
2. Zeros appearing anywhere between two non-zero digits are significant.
3. Leading zeros are not significant.
4. Trailing zeros in a number showing a decimal point are significant.
Hope this helps!

Ven Chavez 2K
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Re: Sapling HW #4

Postby Ven Chavez 2K » Thu Oct 08, 2020 1:55 pm

80060 has four significant figures because zeroes that are between non-zero digits are considered significant. 950000 only has two significant figures because the zeroes do not come inbetween non zero digits. It is important to note that zeroes that come after decimal places would be considered significant figures but in both cases above there are no decimals.

Lauren Mungo 1K
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Re: Sapling HW #4

Postby Lauren Mungo 1K » Thu Oct 08, 2020 1:55 pm

Hi! 950000 only has two sig figs because it has two non zero digits and the rest are trailing zeros which are not significant unless there is a decimal present (i.e. 500.) 80060 has four sig figs because it has two non zeros digits with zeros in the middle and zeros between other numbers are significant!

Anna_Mohling_1D
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Re: Sapling HW #4

Postby Anna_Mohling_1D » Thu Oct 08, 2020 3:02 pm

Hi! Looking at the explanation for this question really helped me because it explained that all non-zero digits are significant, that zeroes between 2 non-zero digits are significant, and that trailing zeroes are not significant if there is no decimal point showing. So 950000 has only two sig figs as the trailing 0s are not significant (there is no decimal point showing) and then 80060 has four sig figs since the two zeroes between the 8 and 6 are considered signficant as well as the 8 and 6!

Lily Mohtashami
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Re: Sapling HW #4

Postby Lily Mohtashami » Thu Oct 08, 2020 5:00 pm

950000 has two significant figures because any zeros after integers without a decimal or number after them do not count as significant figures. 80060 has four significant figures for the same reason.

Namratha Gujje
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Re: Sapling HW #4

Postby Namratha Gujje » Thu Oct 08, 2020 5:06 pm

In the number 950000, the first two numbers are significant since they are non-zero values. The zeros that come after it are trailing zeros so they are not considered significant. The only way they would be considered significant is if there was a decimal point after the final zero. 80060 has 4 sig figs because the zeroes between the 8 and 6 would be counted, but the final zero would not be since it is also a trailing zero.

darchen3G
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Re: Sapling HW #4

Postby darchen3G » Thu Oct 08, 2020 5:24 pm

Zeroes after the last nonzero number in whole numbers are not significant.

For example, 100, 1000, and 10000 all have 1 sig fig.
However, 100.0, 1000.0, and 10000.0 have 4, 5, and 6 sig figs, respectively.

AmyHo2K
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Re: Sapling HW #4

Postby AmyHo2K » Thu Oct 08, 2020 5:26 pm

Hi, 950000 only has 2 sig figures because the 0s are trailing 0s which doesn't count. 80060 have 4 sig figs because the 0s between 8 and 6 counts while the one after 6 does not.

Caelin Brenninkmeijer 1G
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Re: Sapling HW #4

Postby Caelin Brenninkmeijer 1G » Thu Oct 08, 2020 5:35 pm

It's because there's no decimal placed after the numbers! 950000 only has two sig figs because of the trailing zeros. However, if a decimal were to be placed after 950000., then there would be 6 sig figs. Same goes for 80060. The two zeros count between the 8 and 6 because they're not trailing, unlike the 0 after the 6. Add a decimal and the sig figs go from 4 to 5!

Christine Nguyen 3D
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Re: Sapling HW #4

Postby Christine Nguyen 3D » Thu Oct 08, 2020 5:44 pm

I like to first see if there are any nonzero numbers because they are automatically considered significant figures. Any zeros in between significant figures are also considered sig figs as well as any zeros that are AFTER the decimal point.

Kayla Booker 1F
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Re: Sapling HW #4

Postby Kayla Booker 1F » Thu Oct 08, 2020 6:40 pm

The zeros are considered trailing since there's no decimal placed, so you would only count the 9 and 5 as significant, but if there were a decimal placed anywhere in the number, every number would be significant.

Quinton Sprague 1A
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Re: Sapling HW #4

Postby Quinton Sprague 1A » Thu Oct 08, 2020 6:48 pm

Because 950,000 has no decimal placed, the four zeros following 95 are considered trailing and therefore insignificant.
This is the same case with the final zero in 80,060, because of no decimal place it is insignifant, while the two zeros between the very much significant 8 and 6 are considered significant as well because they lie between these two.

Chudi Onyedika 3A
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Re: Sapling HW #4

Postby Chudi Onyedika 3A » Fri Oct 09, 2020 7:24 pm

If zeros are trailing without being after a decimal point, then they are not significant figures. Any non-zero number is a significant figure. Zeros between non-zero numbers are significant figures as well.

Dominic Benna 2E
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Re: Sapling HW #4

Postby Dominic Benna 2E » Fri Oct 09, 2020 7:28 pm

A trailing zero without a decimal point does not make the number more precise, so they do not count as sig figs. The zeros are just place holders to show the true value of the number.

jessicaosuna_1F
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Re: Sapling HW #4

Postby jessicaosuna_1F » Fri Oct 09, 2020 7:52 pm

Hi! the first only has 2 because any zero's that come after all other didgits are just placeholders (unless they have a decimal representing meaning to those specific measurements). The second number has 4 because the zero's are between two other numbers, indicating all of those digits were a part of the measurement and thus all 4 are sig figs.

joshtully
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Re: Sapling HW #4

Postby joshtully » Sun Oct 11, 2020 4:58 pm

I was taught that "sandwiched" zeroes count as sig figs, so thinking of that always helps me.

ZachMLB963
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Re: Sapling HW #4

Postby ZachMLB963 » Sun Oct 11, 2020 9:03 pm

Hiya!

950000 has four trailing 0s after two significant non-zero numbers; these zeroes aren't significant. If the number was 950000.0 with a decimal point, the trailing zeroes would be significant. 80060 has the same number of significant figures are 8006; there are two zeroes smooshed between two significant figures, and because they are smooshed those zeroes are considered significant.

Bai Rong Lin 2K
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Re: Sapling HW #4

Postby Bai Rong Lin 2K » Sun Oct 11, 2020 9:05 pm

905389581 wrote:Hi guys! I was doing question #4 on the homework and got a little confused on the sig figs.

Would someone mind explaining why 950000 only has 2 sig figs compared 80060 having 4 sig figs.

Initially I thought 950000 and 80060 would both only have 3 sig figs

I believe this revolves with leading zeroes and trailing zeros, where 950000 the 4 zeros are just trailing zeros.

Tobie Jessup 2E
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Re: Sapling HW #4

Postby Tobie Jessup 2E » Sun Oct 11, 2020 9:53 pm

I also had trouble with this question since I hadn't worked with determining sig figs in a super long time but something that really helped me was understanding the differences between leading and trailing zeros, like some of our peers said above^

Renny_kim_2G
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Re: Sapling HW #4

Postby Renny_kim_2G » Sun Oct 11, 2020 10:17 pm

Trailing zeros with no decimal point are not significant numbers. That's why 950000 only has two significant figures. However, if there was a decimal, you would include the zeros because they are now significant. In the case of 80060, there are four significant numbers, which are "8006". This is because the zeroes are bounded by two non-zero, significant numbers. Hope this helps!

Victoria_Sauceda_1B
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Re: Sapling HW #4

Postby Victoria_Sauceda_1B » Sun Oct 11, 2020 10:21 pm

A rule with sig figs is that all numbers that aren’t 0 are significant. Along with any zero in between other significant numbers. It would be a good idea to study the rules because this concept is always going to come up.

Jaclyn Schwartz 1I
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Re: Sapling HW #4

Postby Jaclyn Schwartz 1I » Sun Oct 11, 2020 11:20 pm

The reason that 950000 only has 2 sig figs is because it does not have a decimal after the last zero. So the only numbers that count for sig figs are 9 and 5 which make 2 sig figs. 80060 has 4 sig figs because in between 8 and 6 the zeros count. However the zero after 6 does not count because it floating. Hope that helped!

Maryeli Garay 2H
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Re: Sapling HW #4

Postby Maryeli Garay 2H » Sun Oct 11, 2020 11:28 pm

Hi!

I was confused with this question at first too. After doing some research I learned that every number that is not 0 is considered a sig. fig. However, zeros ARE considered significant if they are in between two non-zero digits. So in 950000, only the 9 and 5 are considered significant, because they are non-zero digits, and the zeros after the 9 and 5 aren't following a decimal. In 80060, the zeros in between the 8 and 6 are significant.

Eric Tam 2D
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Re: Sapling HW #4

Postby Eric Tam 2D » Sun Oct 11, 2020 11:32 pm

I don't understand why a trailing zero isn't a significant figure. If 950000 is different from 950001, then shouldn't all the digits be significant figures? Perhaps I misunderstand the purpose of significant figures.

Teti Omilana 1G
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Re: Sapling HW #4

Postby Teti Omilana 1G » Sun Oct 11, 2020 11:38 pm

I am also a little confused by the previous question! Shouldn't all those trailing zeroes be significant since they change the number entirely or is that not the purpose of sig figs?

Navdha Sharma 3J
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Re: Sapling HW #4

Postby Navdha Sharma 3J » Tue Oct 13, 2020 10:04 pm

950000 has only two significant figures as all the trailing zeroes to the non-zero numbers are NOT SIGNIFICANT

80060 has 4 significant figures as the zeroes between two non zero numbers are significant. The last zero won't be significant as trailing zeroes to any non-zero number isn't significant.
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Kaiya_PT_1H
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Re: Sapling HW #4

Postby Kaiya_PT_1H » Sat Oct 17, 2020 9:50 pm

Eric Tam 2D wrote:I don't understand why a trailing zero isn't a significant figure. If 950000 is different from 950001, then shouldn't all the digits be significant figures? Perhaps I misunderstand the purpose of significant figures.


950000 only has 2 significant figures because it's only precise up to the ten thousands place. Basically, you don't know whether it's exactly 950000 or it's really 949000 rounded to the nearest ten thousand. To show that a measurement is exactly 950000, you would write it as "950000." with the period at the end. This indicates that you would include the trailing zeros as significant figures as well.

Eric Tam 2D
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Re: Sapling HW #4

Postby Eric Tam 2D » Sun Oct 18, 2020 3:32 pm

Kaiya_PT_1H wrote:
Eric Tam 2D wrote:I don't understand why a trailing zero isn't a significant figure. If 950000 is different from 950001, then shouldn't all the digits be significant figures? Perhaps I misunderstand the purpose of significant figures.


950000 only has 2 significant figures because it's only precise up to the ten thousands place. Basically, you don't know whether it's exactly 950000 or it's really 949000 rounded to the nearest ten thousand. To show that a measurement is exactly 950000, you would write it as "950000." with the period at the end. This indicates that you would include the trailing zeros as significant figures as well.


Thank you for your explanation!

Joshua Swift
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Re: Sapling HW #4

Postby Joshua Swift » Sun Oct 18, 2020 6:12 pm

950000 only has two significant figures because trailing zeroes do not count. The only time trailing zeroes become significant is when a decimal point is present (950000.)

Angela Marie Guevarra Dis3F
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Re: Sapling HW #4

Postby Angela Marie Guevarra Dis3F » Sun Nov 01, 2020 2:01 am

950000 only has 2 sig figs since we only consider 9 and 5 as significant, seeing that we can rewrite it as simply 9.5 x 10^5. But with 80060, those zeros between the 8 and the 6 are important. We cannot simply write 80060 with only 8 and 6 without those two zeros, thus it has a total of 4 sig figs.

In conclusion: The 4 zeros in 950000 are trailing zeros and aren't after a decimal, so they aren't considered sig figs. The 2 zeros in between 8 and 6 in 80060 aren't trailing and are between 2 non-zero digits, thus they are considered sig figs.


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